Displaying similar documents to “An inverse problem for time-harmonic electromagnetic currents in a smoothly layered medium.”

Remarks on balance laws in electromagnetism

Angelo Morro (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

Two aspects of balance equations in electromagnetism are considered. First, concerning Faraday's law and Ampere's law it is emphasized that appropriate treatment of the time derivative of an integral over a time-dependent surface eliminates ambiguities occurring in various presentations of the subject. Second, standard forms of energy balance are shown not to be equivalent in the case of materials with memory.

Calculation of the magnetic field due to a bioelectric current dipole in an ellipsoid

Andrei Irimia (2008)

Applications of Mathematics

Similarity:

The bioelectric current dipole model is important both theoretically and computationally in the study of electrical activity in the brain and stomach due to the resemblance of the shape of these two organs to an ellipsoid. To calculate the magnetic field 𝐁 due to a dipole in an ellipsoid, one must evaluate truncated series expansions involving ellipsoidal harmonics 𝔼 n m , which are products of Lamé functions. In this article, we extend a strictly analytic model (G. Dassios and F. Kariotou,...

A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition

Sébastien Pernet (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

The construction of a well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber. Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.

A mixed–FEM and BEM coupling for a three-dimensional eddy current problem

Salim Meddahi, Virginia Selgas (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

We study in this paper the electromagnetic field generated in a conductor by an alternating current density. The resulting interface problem (see Bossavit (1993)) between the metal and the dielectric medium is treated by a mixed–FEM and BEM coupling method. We prove that our BEM-FEM formulation is well posed and that it leads to a convergent Galerkin method.